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For questions in Mathematics Education as a scientific discipline. For more hands-on questions on teaching Mathematics, please use the tag teaching. There is also a Stack Exchange community http://matheducators.stackexchange.com/

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Seeking a Geometric Proof of a Generalized Alternating Series' Convergence

Here is what I think you are looking for: First, note that if you take steps of fixed length $\ell$, and keep rotating by an angle of $\theta\neq 0$, then you will stay inside a circle of radius $r=\ …
Kevin Ventullo's user avatar